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Finding the Fourth Proportional to 537,884.96, 742,275.12 and 296,162.48

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Solution

The fourth proportional to 537,884.96, 742,275.12 and 296,162.48 is: 408,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,884.96 : 742,275.12 = 296,162.48 : x
  2. Step 2: Convert to fraction form
    537,884.96/742,275.12 = 296,162.48/x
  3. Step 3: Cross multiply
    537,884.96x = 742,275.12 × 296,162.48
  4. Step 4: Simplify right side
    537,884.96x = 219,834,040,381.50
  5. Step 5: Solve for x
    x = 219,834,040,381.50/537,884.96
  6. Step 6: Final answer
    x = 408,700.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.